The Trivial Object and the Non-Uiviality of a Semantically Closed Theory with Descriptions

Journal of Applied Non-Classical Logics 8 (1-2):171-183 (1998)
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Abstract

After indicating why this is needed, the paper proves a non-triviality result for paraconsistent theory containing arithmetic, naive truth and denotation predicates, and descriptions. The result is obtained by dualising a construction of Kroon. Its most notable feature is that there is a trivial object- one that has every property.

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10.1080/11663081.1998.10510937

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Graham Priest
CUNY Graduate Center

Citations of this work

Atheism and Dialetheism; or, ‘Why I Am Not a (Paraconsistent) Christian’.Zach Weber - 2019 - Australasian Journal of Philosophy 97 (2):401-407.
On a Paradox of Hilbert and Bernays.Priest Graham - 1997 - Journal of Philosophical Logic 26 (1):45-56.
Observations on the Trivial World.Zach Weber & Hitoshi Omori - 2019 - Erkenntnis 84 (5):975-994.
Objects of thought.Graham Priest - 2000 - Australasian Journal of Philosophy 78 (4):494-502.
Semantic closure, descriptions and non-triviality.Graham Priest - 1999 - Journal of Philosophical Logic 28 (6):549--558.

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References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Beyond the Limits of Thought.Graham Priest - 1995 - Cambridge, England: Cambridge University Press.
Computability and Logic.George Boolos, John Burgess, Richard P. & C. Jeffrey - 1980 - New York: Cambridge University Press. Edited by John P. Burgess & Richard C. Jeffrey.
The non-triviality of dialectical set theory.Ross T. Brady - 1989 - In Graham Priest, Richard Routley & Jean Norman (eds.), Paraconsistent Logic: Essays on the Inconsistent. Philosophia Verlag. pp. 437--470.
Boolean negation and all that.Graham Priest - 1990 - Journal of Philosophical Logic 19 (2):201 - 215.

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